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添付資料 - TOKYO TECH OCW
ᖏᇦไ㝈䛸䛿ఱ䛛䠛 ඖ䛾ಙྕ䛾ሗ䜢ኻ䜟䛺䛔䜘䛖䛻ᶆᮏ䛩䜛䛻䛿䚸 䛹䛾䜘䛖䛺㛫㝸䛷ᶆᮏ䛩䜛ᚲせ䛜䛒䜛䛛䠛 䝕䜱䝆䝍䝹ಙྕฎ⌮ 9 䜶䜲䝸䜰䝅䞁䜾䛸䛿ఱ䛛䠛 䝘䜲䜻䝇䝖࿘Ἴᩘ䛸䛿ఱ䛛䠛 ≀⌮ሗ䝅䝇䝔䝮ᑓᨷ ᒣཱྀ㞞ᾈ ᶆᮏ䛥䜜䛯㞳ᩓ㛫ಙྕ䛛䜙䚸䛹䛾䜘䛖䛻䛧䛶ඖ 䛾ಙྕ䜢⌧䛩䜜䜀䜘䛔䛛䚹 ([email protected] ෆᤄ䠄⿵㛫䠅䛸䛿ఱ䛛䠛 :HEhttp://www-oid.ip.titech.ac.jp 䠑䠊ಙྕ䛾ᶆᮏ䠄䝃䞁䝥䝸䞁䜾䠅 䠑䠊䠍 䠑䠊䠎 䠑䠊䠏 䠑䠊䠐 䠑䠊䠑 䠑䠊䠒 䠑䠊䠓 䠑䠊䠍 į㛵ᩘิ䠄FRPE㛵ᩘ䠅 S į㛵ᩘิ ᶆᮏ䛾ᩘᏛⓗ⾲⌧ ᶆᮏ䛥䜜䛯ಙྕ䛾䝣䞊䝸䜶ኚ ᶆᮏᐃ⌮ 㐃⥆㛫ಙྕ䛾ᵓᡂ $'ኚ䠈'$ኚ T G T t f n f į㛵ᩘ䛿ṇ䛾ᐃᩘa䛻ᑐ䛧䛶 䛣䜜䜘䜚 f t ¦ G n T n f T ¦ G t nT f t G n ¦ T n f T t a G aG t 䛺䜛ᛶ㉁䛜䛒䜛 f ¦ G t nT n f 䠑䠊䠏 ᶆᮏ䛥䜜䛯ಙྕ䛾䝣䞊䝸䜶ኚ į㛵ᩘิ䛾䝣䞊䝸䜶ኚ f f f F ^ ¦ G t nT ` ³ ¦ G t nT e f n f X Z F ^xt ` jZ t dt n f f ¦³ n f f ¦ f X s Z G t e jZ t nT dt F ^xs t ` f e jZnT n f S T f ¦ G Z m f F ^x t G T t ` Sm Z sG Zs Z T f F ^x t ` F ^ ¦ G t nT ` S n f ⦎⩦ၥ㢟 ͤ䛜ṇ䛧䛔䛣䛸䜢☜ㄆ䛫䜘䚹 ͤ S X Z ® S ¯T 䝕䝹䝍㛵ᩘิ䛾䝣䞊䝸䜶ኚ䛿䝕䝹䝍㛵ᩘิ 㛫㝸 Z s S T f n f n f f ¦ X Z mZs T m f xt 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 㐃⥆㛫ಙྕ xt XZ W S fM xt 㐃⥆㛫ಙྕ xt ᶆᮏ䛥䜜䛯㐃⥆㛫ಙྕ xst 㞳ᩓ㛫ಙྕ x>n@ x>n@ xnT f Sm ½ ¾ T ¿ 䠑䠊䠎 ᶆᮏ䛾ᩘᏛⓗ⾲⌧ xs t m f Sm ¦ X Z T T m f f 㛫㝸 T f ¦ G Z ᭱㧗࿘Ἴᩘ fM ᖏᇦไ㝈 䝕䝹䝍㛵ᩘิ GTt 䝕䝹䝍㛵ᩘิ GTt䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 ¦ x>n@ G t nT ¦ xnT G t nT Z f ¦ xt G t nT T n f ¦ G t nT n f t ST 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ f x t Z t XsZ xt 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ䛾 䝣䞊䝸䜶䝇䝨䜽䝖䝹 xst x t G T t T t Z T t ST 䠑䠊䠐 ᶆᮏᐃ⌮ 䠄䛭䛾䠍䠅 f T fN TN 㛫㡿ᇦ䛷ぢ䜛䛸 +]䛾䛸䛝 PV f +] PV 㐃⥆㛫ಙྕ xt䛾᭱㧗࿘Ἴᩘ䛜 fM 䛷䛒䜛䛸䛝䚸 fM 䛾ಸ䜘䜚䜒㧗䛔࿘Ἴᩘ fs 䛷ᶆᮏ䛩䜜䜀䚸 ᶆᮏ䛥䜜䛯㞳ᩓ㛫ಙྕ xst䛛䜙 ඖ䛾㐃⥆㛫ಙྕ xt䜢䛻ඖ䛩䜛䛣䛸䛜䛷䛝䜛 ͤ ᶆᮏ࿘Ἴᩘ fs T fN T f M 䜢䝘䜲䜻䝇䝖䝺䞊䝖䠄1\TXLVWUDWH䠅䛸䜆 䝣䞊䝸䜶㡿ᇦ䛷ぢ䜛䛸 ᖏᇦไ㝈䛥䜜䛯ಙྕ䛾 䝣䞊䝸䜶䝇䝨䜽䝖䝹 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 ᭱㧗࿘Ἴᩘ fM XsZ Z Z ⌮పᇦ㏻㐣䝣䜱䝹䝍 XsZ ྲྀ䜚ฟ䛥䜜䛯ಙྕ䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 XRZ Z ST Z S ! W 䛩䛺䜟䛱 T 䛷ᶆᮏ䛩䜜䜀䚸XsZ䛛䜙 XZ䜢 fM T 䛻ඖ䛩䜛䛣䛸䛜䛷䛝䜛䚹 ⏣ᮃ䠈䛂䜘䛟䜟䛛䜛ಙྕฎ⌮䛃 䛹䛾䜘䛖䛻䛧䛶ඖ䛩䜛䛛䠛 XZ W S fM ᶆᮏ䛥䜜䛯ಙྕ 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 Z S f 䠑䠊䠑 㐃⥆㛫ಙྕ䛾ᵓᡂ ᶆᮏᐃ⌮䠄䛭䛾䠎䠅 XRZ䜢㏫䝣䞊䝸䜶ኚ䛩䜜䜀 㐃⥆㛫ಙྕ xt䜢ᶆᮏ࿘Ἴᩘ Zs S fs S T 䛷䝃䞁䝥䝸䞁䜾䛧䛶ᚓ䜙䜜䜛ᶆᮏ್ xnT 䛛䜙ඖ䛾 㐃⥆㛫ಙྕ xt䜢䛻⌧䛩䜛䛻䛿䚸 xt䛜ゅ࿘Ἴᩘ W Zs 䠄䝘䜲䜻䝇䝖࿘Ἴᩘ䠅ᮍ‶ 䛻ᖏᇦไ㝈䛥䜜䛶䛔䜜䜀䜘䛔䚹 xt ¦ xnT n f Z W ` F ^ X s Z ` F ^T p Z W ▴ᙧ䝟䝹䝇㛵ᩘ䛾㏫䝣䞊䝸䜶ኚ䛿䚸 Z W ` W T ª jZt º ³W e dZ S «¬ jt e »¼ W T e jWt e jWt VLQ Wt j St Wt T S W jZt ᶆᮏ䛥䜜䛯ಙྕ䛻ᑐ䛩䜛 䝣䞊䝸䜶㡿ᇦ䛷䛾䝣䜱䝹䝍䝸䞁䜾 ᶆᮏ䛥䜜䛯ಙྕ 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 xR t F ^ X s Z T p VLQ W t nT W t nT f t f t 䜢䛖 F ^T p 䛣䛾䛸䛝௨ୗ䛾ᘧ䜢⏝䛔䛶 xt䜢⌧䛷䛝䜛 f F 㼧 f t f t ` F Z F Z 䜘䜚 F -1 㼧 F Z F Z ` S T W VLQ Wt Wt f ³f xs t W t t VLQ W t t dt xR t xs t XsZ xst'䛿 t' nT ௨እ䛿 fst' 䛺䛾䛷䚸 T Z W ⌮పᇦ㏻㐣䝣䜱䝹䝍 ▴ᙧ䝟䝹䝇㛵ᩘ X R Z ྲྀ䜚ฟ䛥䜜䛯ಙྕ䛾 䝣䞊䝸䜶䝇䝨䜽䝖䝹 xR t T pZW f ¦ xnT n f X s Z T p Z W VLQFt XRZ VLQ W t nT W t nT VLQFt VLQ S t St t Z ` 䜶䜲䝸䜰䝅䞁䜾䛜⏕䛨䛯ಙྕ䛻ᑐ䛩䜛 䝣䞊䝸䜶㡿ᇦ䛷䛾䝣䜱䝹䝍䝸䞁䜾 㛫㡿ᇦ䛷䛾ᵓᡂ䠄䝣䜱䝹䝍䝸䞁䜾䠅 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ xst 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 xt XsZ Ts Z T xR t f ¦ xnT n f VLQ W t nT W t nT S S T T X R Z xRt X s Z T p XRZ ྲྀ䜚ฟ䛥䜜䛯ಙྕ䛾 䝣䞊䝸䜶䝇䝨䜽䝖䝹 t 㛫䜢ᇙ䜑䜛 䠙 ⿵㛫䠈ෆᤄ ,QWHUSRODWLRQ Z S T ᢡ䜚㏉䛧ㄗᕪ $OLDVLQJHUURU Z 䠑䠊䠒 ᶆᮏᐃ⌮䜢‶䛯䛥䛺䛔ሙྜ 䢲䢰䢷 DX ZDYUHDG ULQJZDY ID ))7DX IEO ID IEO>@ EO UHDO,))7IEO SORWEO 䢲䢰䢶 fM T 䢲䢰䢵 䢲䢰䢴 䢲䢰䢳 䢲 䢯䢲䢰䢳 䢯䢲䢰䢴 䢯䢲䢰䢵 䢯䢲䢰䢶 ཎಙྕ䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 䢯䢲䢰䢷 䢲 W S fM 䝃䞁䝥䝸䞁䜾䛥䜜䛯ಙྕ 䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹 䢳䢲䢲䢲 䢴䢲䢲䢲 䢵䢲䢲䢲 䢶䢲䢲䢲 䢷䢲䢲䢲 䢸䢲䢲䢲 䢹䢲䢲䢲 䢺䢲䢲䢲 䢻䢲䢲䢲 XZ XsZ ᭱㧗࿘Ἴᩘ fM Z 䜶䜲䝸䜰䝅䞁䜾 $OLDVLQJ 䢲䢰䢷 䢲䢰䢶 䢲䢰䢵 䢲䢰䢴 䢲䢰䢳 䢲 䢯䢲䢰䢳 䢯䢲䢰䢴 䢯䢲䢰䢵 䢯䢲䢰䢶 䢯䢲䢰䢷 䢲 SORWEO>@ 䢳䢲䢲 䢴䢲䢲 䢵䢲䢲 䢶䢲䢲 䢷䢲䢲 䢸䢲䢲 䢵䢷䢲 䢵䢲䢲 SORWIIWVKLIWDEVIEO 䢴䢷䢲 䢴䢲䢲 Z 䢳䢷䢲 䢳䢲䢲 䢷䢲 ST 䢲 䢲䢰䢶 EOV>@ EOV>@ EO>@ SORWEOV 䢲䢰䢵 䢲䢰䢴 䢲䢰䢳 䢲 䢯䢲䢰䢳 䠑䠊䠓 $'ኚ䠈'$ኚ $'ኚ 䢯䢲䢰䢴 䢯䢲䢰䢵 䢯䢲䢰䢶 䢲 䢳䢲䢲 䢴䢲䢲 䢵䢲䢲 䢶䢲䢲 䢷䢲䢲 䢸䢲䢲 䢹䢲 䢸䢲 IEOV ))7EOV SORWIIWVKLIWDEVIEOV 䢷䢲 䢶䢲 䢵䢲 㞳ᩓ㛫 ಙྕ 䝕䜱䝆䝍䝹ಙྕ 㔞Ꮚ SUHILOWHU 䢴䢲 䢳䢲 䢲 㐃⥆㛫 㐃⥆㛫 ಙྕ 䜰䝘䝻䜾䝣䜱䝹䝍 ಙྕ 䝃䞁䝥䝸䞁䜾 పᇦ㏻㐣 䢲 䢳䢲䢲䢲 䢴䢲䢲䢲 䢵䢲䢲䢲 䢶䢲䢲䢲 䢷䢲䢲䢲 䢸䢲䢲䢲 䢹䢲䢲䢲 䢺䢲䢲䢲 䢻䢲䢲䢲 䜸䞊䝞䞊䝃䞁䝥䝸䞁䜾$'ኚ䝅䝇䝔䝮 䢹䢲 䢸䢲 IEOU IEOV IEOU>@ SORWIIWVKLIWDEVIEOU 䢷䢲 䢶䢲 䢵䢲 䢴䢲 䢳䢲 䢲䢲 䢳䢲䢲䢲 䢴䢲䢲䢲 䢵䢲䢲䢲 䢶䢲䢲䢲 䢷䢲䢲䢲 䢸䢲䢲䢲 䢹䢲䢲䢲 䢺䢲䢲䢲 䢻䢲䢲䢲 䢲䢰䢲䢺 EOU UHDO,))7IEOU SORWEOU 䢲䢰䢲䢸 䢲䢰䢲䢶 䢲䢰䢲䢴 㐃⥆㛫 㐃⥆㛫 ಙྕ ಙྕ 䜰䝘䝻䜾䝣䜱䝹䝍 䜸䞊䝞䞊 పᇦ㏻㐣 䝃䞁䝥䝸䞁䜾 SUHILOWHU 䝕䜱䝆䝍䝹ಙྕ 䝎䜴䞁 䝃䞁䝥䝸䞁䜾 㞳ᩓ㛫ಙྕ 䢲 䢯䢲䢰䢲䢴 䝕䜱䝆䝍䝹䝣䜱䝹䝍 పᇦ㏻㐣 㔞Ꮚ 䢯䢲䢰䢲䢶 䢯䢲䢰䢲䢸 䢯䢲䢰䢲䢺 䢲 䢳䢲䢲 䢴䢲䢲 䢵䢲䢲 䢶䢲䢲 䢷䢲䢲 䢸䢲䢲 ⏬ീ䛾ሙྜ 䝕䜱䝆䝍䝹ಙྕ 䝥䝺䝣䜱䝹䝍䛻ồ䜑䜙䜜䜛≉ᛶ 䛷䛝䜛䛰䛡ᛴᓧ䛺䝣䜱䝹䝍≉ᛶ䛜ồ䜑䜙䜜䜛 ཎಙྕ 䝣䜱䝹䝍ᚋ䛾ಙྕ Zs Zs Z 䝃䞁䝥䝸䞁䜾࿘Ἴᩘ 䝃䞁䝥䝸䞁䜾ᚋ Z 䝣䜱䝹䝍≉ᛶ䛜䛺䛰䜙䛛䛺ሙྜ 䝥䝺䝣䜱䝹䝍≉ᛶ ῶ⾶ Z 䜶䜲䝸䜰䝆䞁䜾 䜸䞊䝞䞊䝃䞁䝥䝸䞁䜾 ⿵㛫䛸␚䜏㎸䜏 䠌ḟ䝩䞊䝹䝗䠄䠌ḟ⿵㛫䠅 䠙 ▴ᙧ䝟䝹䝇㛵ᩘ䛾␚䜏㎸䜏 ཎಙྕ 䝣䜱䝹䝍ᚋ䛾ಙྕ Zs Z Zs Zs 䝃䞁䝥䝸䞁䜾ᚋ t Zs ⥺ᙧ⿵㛫䠄୍ḟ⿵㛫䠅 䠙 ȁ㛵ᩘ䛾␚䜏㎸䜏 Z Zs Zs 䝕䜱䝆䝍䝹䝣䜱䝹䝍 䞉ᛴᓧ䛺పᇦ㏻㐣≉ᛶ 䞉୰ᇦ䛾ᅇ Z '$ኚ 䝕䜱䝆䝍䝹ಙྕ '$ ኚ t 䠑䠊ಙྕ䛾ᶆᮏ䠄䝃䞁䝥䝸䞁䜾䠅䠖 䜎䛸䜑 㐃⥆㛫 ಙྕ 㐃⥆㛫 ಙྕ t ᶆᮏᐃ⌮䜢‶䛯䛫䜀䚸ඖ䛾㐃⥆㛫ಙྕ䜢䛻 ⌧䛷䛝䜛 䜰䝘䝻䜾䝣䜱䝹䝍 ᶆᮏ࿘Ἴᩘ䛿䚸㐃⥆㛫ಙྕ䛾᭱㧗࿘Ἴᩘ䛾䠎ಸ 䠄䝘䜲䜻䝇䝖䝺䞊䝖䠅䜘䜚䛝䛟䛺䛡䜜䜀䛺䜙䛺䛔 ᶆᮏ䛥䜜䛯ಙྕ䛛䜙㐃⥆㛫ಙྕ䜢⌧䛩䜛䛻䛿䚸 పᇦ㏻㐣䝣䜱䝹䝍䜢㐺⏝ 䛣䛾ሙྜ䛾పᇦ㏻㐣䝣䜱䝹䝍䛿ෆᤄ䝣䜱䝹䝍䛾ᙺ ⿵㛫 䝩䞊䝹䝗ᅇ㊰䠄䠌ḟ䝩䞊䝹䝗䠅 ᶆᮏᐃ⌮䜢‶䛯䛥䛺䛔ሙྜ䚸䜶䜲䝸䜰䝅䞁䜾ṍ䜏䜢⏕䛨 䜛 t ͤ ḟ䝩䞊䝹䝗䛻䜘䛳䛶⿵㛫䛥䜜䛯㐃⥆㛫ಙྕ䛾䝣䞊䝸䜶䝇䝨䜽䝖䝹䛿䛹䛾 䜘䛖䛺≉ᛶ䛸䛺䜛䛛䠛